diff --git a/aioesphomeapi/client.py b/aioesphomeapi/client.py
index 046766a..2273ce7 100644
--- a/aioesphomeapi/client.py
+++ b/aioesphomeapi/client.py
@@ -1259,9 +1259,7 @@ class APIClient:
                 # We hold a reference to the start_task in unsub function
                 # so we don't need to add it to the background tasks.
             else:
-                stop_task = asyncio.create_task(handle_stop())
-                self._background_tasks.add(stop_task)
-                stop_task.add_done_callback(self._background_tasks.discard)
+                self._create_background_task(handle_stop())
 
         connection.send_message(SubscribeVoiceAssistantRequest(subscribe=True))
 
@@ -1283,6 +1281,12 @@ class APIClient:
 
         return unsub
 
+    def _create_background_task(self, coro: Coroutine[Any, Any, None]) -> None:
+        """Create a background task and add it to the background tasks set."""
+        task = asyncio.create_task(coro)
+        self._background_tasks.add(task)
+        task.add_done_callback(self._background_tasks.discard)
+
     def send_voice_assistant_event(
         self, event_type: VoiceAssistantEventType, data: dict[str, str] | None
     ) -> None: